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Gauld, David
- Boundedly Metacompact or Finitistic Spaces and the Star Order of Covers
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Authors
Satya Deo
1,
David Gauld
2
Affiliations
1 Harish-Chandra Research Institute, Chhatnag Road, Jhusi Allahabad 211019, IN
2 The Department of Mathematics, The University of Auckland Private Bag 92019, Auckland, NZ
1 Harish-Chandra Research Institute, Chhatnag Road, Jhusi Allahabad 211019, IN
2 The Department of Mathematics, The University of Auckland Private Bag 92019, Auckland, NZ
Source
The Journal of the Indian Mathematical Society, Vol 83, No 1-2 (2016), Pagination: 43-59Abstract
In this paper we first show that the topological notion of boundedly metacompact (first named finitistic) is equivalent to metris - ability for a topological manifold, and then we study the related notions. In particular, we study the star order of covers of a space. This leads us to propose a definition of dimension which we call star covering dimension.Keywords
Finitistic, Boundedly Metacompact, Boundedly Paracompact, Star Order.
References
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- Dennis K. Burke, Covering Properties, in K Kunen and J Vaughan, eds, "Handbook of Set-Theoretic Topology," Elsevier, 1984, 347–422.
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- David Gauld, Non-metrisable Manifolds, Springer, 2014.
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- On Selectively Star-Lindelof Properties
Abstract Views :232 |
PDF Views:3
Authors
Affiliations
1 ICFAI University Tripura, Kamalghat, Tripura, 799210, IN
2 Department of Mathematics, Tripura University, Suryamaninagar, Tripura, 799022, IN
3 Department of Mathematics, The University of Auckland, Private Bag 92019, Auckland, NZ
1 ICFAI University Tripura, Kamalghat, Tripura, 799210, IN
2 Department of Mathematics, Tripura University, Suryamaninagar, Tripura, 799022, IN
3 Department of Mathematics, The University of Auckland, Private Bag 92019, Auckland, NZ
Source
The Journal of the Indian Mathematical Society, Vol 85, No 3-4 (2018), Pagination: 291-304Abstract
In this paper a new covering notion, called M-star-Lindelof, is introduced and studied. This notion of covering arises from the selection hypothesis SS*D,fin(D, D). The stronger form SS*D,1(D, D) of the selection hypothesis SS*D,fin(D, D) will also be discussed. We then consider weaker versions of these properties involving iterations of the star operator.Keywords
Selection Hypothesis, Star-Lindelof Space.References
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